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Palestinians in Jordan: Using Game Theory to Analyze the Potential for Palestinian and Jordanian Integration. Context of Situation.
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Palestinians in Jordan:Using Game Theory to Analyze the Potential for Palestinian and Jordanian Integration
Context of Situation The relationship of Palestinians with Transjordanians within is a side-effect of the Arab-Israeli war of 1948 and poses a serious issue to the population of Jordan. This study attempts to capture the interactions between the two ethnicities through a game theoretic analysis. The emergence of a prisoner’s dilemma and consideration of the future reveals that ethnic integration is not very probably within Jordan.
Thesis Payoff structures identifying the interactions as prisoner’s dilemmas emerge through an examination of each group’s participation in the parliament, the educational sector as well as passport/residency status. Extending the interactions into the future develops the model of an indefinitely repeated prisoner’s dilemma (IRPD), in which a discount factor will display why the two groups may continue to remain distinct rather than fully integrating.
The Game After Iterated Elimination of Dominated Strategies
Finding A Discount Factor Strategy: Trigger strategy (Tr) Expected payoffs under cooperation and defection given Trigger strategy: EP(C|Tr) = R + R + 2R + 3R + … = R + R*(1/(1-)) EP(D|Tr) = P + P + 2P + 3P + … = P + P*(1/(1-)) Solving for equilibrium discount factor: R + R*(1/(1-) = P + P*(1/(1-)) * = (T-R/T-P) Discount Factor of Education: Undergraduates: 5-4/5-3 = ス Jordanian Gov’t: 3-2/3-1 = ス Discount Factor of Parliament Elections: Palestinian Voter: 4-3/4-2 = ス Jordanian Gov’t: 4-3/4-2 = ス Discount Factor of Residency: Palestinian Immigrant: 4-3/4-2 = ス Jordanian Government: 4-3/4-2 = ス Discount Factor of General Interactions: Palestinian Jordanians: 3-2/3-1 = ス Transjordanians: 3-2/3-1 = ス